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# Interesting or inspiring sequences - PowerPoint PPT Presentation

Interesting or inspiring sequences. Homework #1 of Algorithms for Biological Sequence Analysis Instructor: Kun-Mao Chao TA: Yi-Ching Chen 2007/10/16. Guess what are these two blank spaces should be? OTT□FSS□NT. Sequence Analysis-HW1. F. E. WHY?.

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### Interesting or inspiring sequences

Homework #1 of

Algorithms for Biological Sequence Analysis

Instructor: Kun-Mao Chao

TA: Yi-Ching Chen

2007/10/16

OTT□FSS□NT

### Sequence Analysis-HW1

F

E

WHY?

One Two Three Four Five Six Seven Eight Night Ten

I think it is very interesting because when you know the answer,

you will find out the relation between these characters immediately.

But it is really hard to find out the answer by yourself.

This is a question about an interesting string,

which my cousin asked me two years ago.

A Fractal Sequence(the one contains infinite copies of itself)

Remove the 1st (2nd, 3rd…) occurrence of each positive integer

The remaining sequence is identical to the original!

• Inspiration: simple and effective!

• the beauty of self-similarity and

• the strength of self-containment.

• Kuan-Ling Chen (陳冠伶)

• Source: http://faculty.evansville.edu/ck6/integer/fractals.html

• Name: D95922001 楊孟翰

• A sequence which, in your opinion, is sort of interesting or inspiring

• Butterfly (蝴蝶)

• Spelling (拼字)

• Toothpaste (牙膏)

• Seven (七)

• Wrong (錯誤)

• Witch (女巫)

• Name: D95922001 楊孟翰

• A short reason explaining why it’s interesting or inspiring

• 利用單字組合或一字多義來創造英文謎語:

• Throw butter out of window (butter-fly)

• A witch‘s favorite subject in school (spelling 也有咒語的意思)

• Keep teeth together (tooth-paste)

• Make seven even (s-even, 讓七變單數)

• The word always pronounced wrong (總是發音錯誤的單字)

• Make witch itch (w-itch, 抓女巫的癢)

• For any digits “i” in the sequence, there are i number between two digits “i”.

• There is another example with 64 numbers.

• D96922003 朱安強 Source：彰化高中學弟的科展問題。

64 62 63 59 57 61 54 60 51 49 58 46 44 56 41 55

38 36 53 33 52 29 27 50 23 20 48 17 47 12 6 45 5

9 43 4 42 6 5 40 4 39 12 9 37 17 20 35 23 34 27

29 32 33 36 38 41 44 46 49 51 54 57 59 62 64 63

61 60 58 56 55 53 52 50 48 47 45 43 42 40 39 37

35 34 32 31 28 30 25 26 22 19 10 18 24 11 8 3 21

2 7 3 2 10 16 8 15 11 7 13 14 19 18 22 25 28 26

31 30 24 21 16 15 13 1 14 1

• Could you construct an infinite decimal which is an irrational number?

• 0.101001000100001000001....

• D96922003 朱安強 Source：高一課堂例子。

D96922038 San-Yuan Wang(王三源)

Source: 小學時的國語課程內容(員外留客)

HBV是已知最小的DNA病毒，長约3.2 Kb，基因組高度壓缩、重複利用。HBV基因组共含有4個轉錄單元，每個轉錄單元構成一個獨立的開放讀碼框

R94450017 包鈺綸

• 第二集

• 由日本慶應大學 佐藤雅彥研究室製作

• 很神的骨牌撞球

R95922078 高孟駿

### 同音不同義且有連結近世進士盡是近視

r95922136

Kai-Chieh Liao(廖凱傑)

Source:七龍珠(界王冷笑話)

B94902032 陳縕儂

Ambigram

12

D96922030 Chen, Kun (陳琨)

95944024 蕭安辰

• 串列:上海自來水來自海上

• 敘述:算是在2002年相當有名的句子,之前是苗栗縣政府公開有獎徵答,相當的轟動.全句意義通順,平仄,意境看似簡單卻不容易對的好.各方投稿相當的多但是僅有幾幅勉強通順而已,目前是從缺.

2002是回文年，上一次是1991，再上一次是1881。

2112

911也是回文，why?

IXXI

### Reverse SequenceThe original and the reverse phrases are the same

Was it a car or a cat I saw?

Was I tac a ro rac a ti saw

Hsiao-tse Chang (張孝澤) d96945015

Source: Internet

R95922121 邱冠凱

Source: 網路

### Interesting String

R96922074 資工碩一 郭慶徵

r96922117賴怡玲 Source: network

1.這首詩的原文是這樣的：

2. 拼音文字，如英文的palindrome poems 並不是真的 palindrome.多是如下格式：

Mornings

fresh and clear

makes sunrise spectacular

with birds chirping

《春》︰鶯啼岸柳弄春晴，夜月明。 鶯啼岸柳弄春晴，柳弄春晴夜月明。明月夜晴春弄柳，晴春弄柳岸啼鶯。 《夏》︰香蓮碧水動風涼，夏日長。 香蓮碧水動風涼，水動風涼夏日長。長日夏涼風動水，涼風動水碧蓮香。 《秋》︰秋江楚雁宿沙洲，淺水流。 秋江楚雁宿沙洲，雁宿沙洲淺水流。流水淺洲沙宿雁，洲沙宿雁楚江秋。 《冬》︰紅爐透炭炙寒風，御隆冬。 紅爐透炭炙寒風，炭炙寒風御隆冬。冬隆御風寒炙炭，風寒炙炭透爐紅。

### A Palindrome

LINISAC ♥ CASINIL

Note: This sequence remains unchanged when typed in reverse alphabetic order. The character “♥” is pronounced as “loves.”

Author: R96922105 吳韋霖

Source: My own creation

Reason: LINISAC is my English name, whereas CASINIL is the English name of somebody to whom I give this name and who I love very much.☺

I saw Elba, able was I

‧196

‧考慮一個數字，EX:25，將其逆序(就變成52)，在和原數字相加，得到新的數字(77)，反覆迭代之後通常會得到一迴文數(此例中即為77)。

‧如果一數字經過無數次上述的迭代，依然從未出現過一迴文數，則此數被稱為利克瑞爾數（Lychrel Number）。

‧196被認為是第一個可能的利克瑞爾數，因為196經過了數百萬次的迭代，依然從未出現過迴文數，但是尚未證實。

‧來源：WIKI 搜尋利克瑞爾數(先找迴文數，再連結過來的)

R96922055 宋彥朋

### 來源:第四屆全球徵聯活動上聯題目「十全記四庫書九龍壁六旬萬歲乾隆皇」為第一名

R95922130 王鴻愷

月

沽月上

魄兔月童膧

幽光日月忽散一

銀垂已向月兆朒秋天

釣圓綻今其月樣玉球馥郁

收中鏡色山朧月蒙落外雲芬桂

• 巧妙利用中文字可拆解的特性，運用一連串帶有「月」的字，充份表達歌詠月的主題。

• Source:清代乾隆年間, 萬紅友所撰 璿璣碎錦 詩圖

• D95922032 翁翊鍾

• Source:清代乾隆年間, 萬紅友所撰 璿璣碎錦 “送華小邢燕遊”

• D95922032 翁翊鍾

R96922137

「裏」對「裡」說 雨雨 春春 光光……

• 裏對裡說：「你瞧，我的『里』鑽到『衣』內了。」

• 痴對癡說：「別懷疑，我們是同病相憐的知音。」

• 峯對峰說：「呵呵，我高你一截！」

• 怡對怠說：「同樣心愛台灣，下場卻南轅北轍。」

• 臺對台說：「我是正港ㄟ，『台客』應改成『臺客』。」

• 啓對啟說：「既生瑜，何生亮？」

2007年10月16日